102200000448 has 448 divisors, whose sum is σ = 361658286080. Its totient is φ = 24709017600.

The previous prime is 102200000381. The next prime is 102200000473. The reversal of 102200000448 is 844000002201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10286043 + ... + 10295973.

It is an arithmetic number, because the mean of its divisors is an integer number (807272960).

Almost surely, 2^102200000448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180829143040).

102200000448 is an abundant number, since it is smaller than the sum of its proper divisors (259458285632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200000448 is a wasteful number, since it uses less digits than its factorization.

102200000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10006 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102200000448 its reverse (844000002201), we get a palindrome (946200002649).

The spelling of 102200000448 in words is "one hundred two billion, two hundred million, four hundred forty-eight", and thus it is an aban number.